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2 years ago

Which of the following equations is equivalent to y=2x?

Mathematics

2 answers:

Irina-Kira [14]2 years ago

8 0

Answer:

y=In 2x

Step-by-step explanation:

welcom

Sloan [31]2 years ago

7 0

First of all, you need to know these two equations:
a^b = c, which also translates into: log a c = b

Now, let us apply these equations here:
a here will stand for 2, b will stand for x, and c will stand for y.
So:

2^x = c, which translates into log2y = x

This means that the equation which is equivalent to y=2x is B. x = log2y

You might be interested in

78 million converted in scientific notation

Lemur [1.5K]

The correct answer is:

7.8 × 10⁷

Explanation:

To write a number in scientific notation, we want the decimal behind the first non-zero digit in the number. The first non-zero digit in 78 is 7; this means we want 7.8. In order to have the decimal point behind the 7, we need to move the decimal 7 places. This is the exponent of 10 in our scientific notation, which gives us

7.8 × 10⁷

7 0

3 years ago

Are the ratio 7/15 equal to 21/45 goe

Anna71 [15]

Yes they are equal. 45 is a multiple of 15. 45/15=3, 7*3=21. so 21/45 is equal to 7/15.

7 0

3 years ago

When doing currency exchange why is it better to carry the transaction out to five or six places rather than round to cents. Wha

k0ka [10]

When rounding earlier, it could be screwing you out of an extra few cents that you might eventually need for tax

6 0

3 years ago

Read 2 more answers

What is the equation for y=-x+6 of X and Y? -6, -3, 2, 4, 7

Ann [662]

Y=-x+6
Try -6 on X, -(-6)+6=12... wrong
Try -3 on X, -(-3)+6=9... wrong
Try 2 on X, -2+6=4... correct, you got X=2, Y=4
Try 4 on X, -4+6=2... correct, you got X=4, Y=2
Try 7 on X, -7+6=1... wrong

7 0

3 years ago

Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Consider the

Dafna1 [17]

Answer:

a) $\bar d= \frac{\sum_{i=1}^n d_i}{n}=72.2$

$s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =9.311$

b) The 90% confidence interval would be given by (63.330;81.070)

$63.330 < \mu_{left}- \mu_{right}$

Step-by-step explanation:

1) Previous concepts and notation

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let put some notation

x=left arm , y = right arm

x: 175 169 182 146 144

y: 102 101 94 79 79

The first step is define the difference $d_i=x_i-y_i$ , that is given so we have:

d: 73, 68, 88, 67, 65

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}=72.2$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =9.311$

2) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar d \pm t_{\alpha/2}\frac{s_d}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=5-1=4$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,4)".And we see that $t_{\alpha/2}=2.13$

Now we have everything in order to replace into formula (1):

$72.2-2.13\frac{9.311}{\sqrt{5}}=63.330$

$72.2+2.13\frac{9.311}{\sqrt{5}}=81.070$

So on this case the 90% confidence interval would be given by (63.330;81.070)

$63.330 < \mu_{left}- \mu_{right}$

3 0

2 years ago